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Finding the Fourth Proportional to 838.86, 1,157.04 and 524.28

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Solution

The fourth proportional to 838.86, 1,157.04 and 524.28 is: 723.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.86 : 1,157.04 = 524.28 : x
  2. Step 2: Convert to fraction form
    838.86/1,157.04 = 524.28/x
  3. Step 3: Cross multiply
    838.86x = 1,157.04 × 524.28
  4. Step 4: Simplify right side
    838.86x = 606,612.93
  5. Step 5: Solve for x
    x = 606,612.93/838.86
  6. Step 6: Final answer
    x = 723.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.